Linearisation of second-order differential equations.

Eduardo Martínez

Extracta Mathematicae (1996)

  • Volume: 11, Issue: 1, page 155-162
  • ISSN: 0213-8743

Abstract

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Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.

How to cite

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Martínez, Eduardo. "Linearisation of second-order differential equations.." Extracta Mathematicae 11.1 (1996): 155-162. <http://eudml.org/doc/38481>.

@article{Martínez1996,
abstract = {Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.},
author = {Martínez, Eduardo},
journal = {Extracta Mathematicae},
keywords = {Ecuaciones diferenciales no lineales; Geometría diferencial; Análisis lineal; linear ordinary differential equations; oscillation},
language = {eng},
number = {1},
pages = {155-162},
title = {Linearisation of second-order differential equations.},
url = {http://eudml.org/doc/38481},
volume = {11},
year = {1996},
}

TY - JOUR
AU - Martínez, Eduardo
TI - Linearisation of second-order differential equations.
JO - Extracta Mathematicae
PY - 1996
VL - 11
IS - 1
SP - 155
EP - 162
AB - Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.
LA - eng
KW - Ecuaciones diferenciales no lineales; Geometría diferencial; Análisis lineal; linear ordinary differential equations; oscillation
UR - http://eudml.org/doc/38481
ER -

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